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A prize of $1500 is to be divided among three students in the ratio 2:3:5. How m
A prize of $1500 is to be divided among three students in the ratio 2:3:5. How much will the student with the largest share receive?
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A prize of $1500 is to be divided among three students in the ratio 2:3:5. How much will the student with the largest share receive?
$500
$600
$750
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Total parts = 2 + 3 + 5 = 10. Largest share = (5/10) * 1500 = $750.
Questions & Step-by-step Solutions
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Q
Q: A prize of $1500 is to be divided among three students in the ratio 2:3:5. How much will the student with the largest share receive?
Solution:
Total parts = 2 + 3 + 5 = 10. Largest share = (5/10) * 1500 = $750.
Steps: 8
Show Steps
Step 1: Understand that the total prize money is $1500.
Step 2: Identify the ratio in which the prize is to be divided, which is 2:3:5.
Step 3: Add the parts of the ratio together: 2 + 3 + 5 = 10.
Step 4: Determine the largest part of the ratio, which is 5.
Step 5: Calculate the share for the largest part by using the formula: (largest part / total parts) * total prize.
Step 6: Substitute the values into the formula: (5 / 10) * 1500.
Step 7: Simplify the calculation: 0.5 * 1500 = 750.
Step 8: Conclude that the student with the largest share will receive $750.
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